Xiaolin Zeng - School of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing, 400067, P. R. China Jian Shi - College of Mathematics and Information Science, Hebei University, Baoding, 071002, P. R. China
In this paper, we will show the existence of positive semidefinite solution of Furuta type operator equation \[\displaystyle\sum_{j=0}^{n-1}A^{j}XA^{n-j-1}=Y,\] where \(Y\) can be expressed by a comprehensive form.
Xiaolin Zeng, Jian Shi, A note on Furuta type operator equation, Journal of Mathematics and Computer Science, 18 (2018), no. 1, 94--97
Zeng Xiaolin, Shi Jian, A note on Furuta type operator equation. J Math Comput SCI-JM. (2018); 18(1):94--97
Zeng, Xiaolin, Shi, Jian. "A note on Furuta type operator equation." Journal of Mathematics and Computer Science, 18, no. 1 (2018): 94--97